When the number of dimensions increases, there's more and more space around the cone, so its volume would go to zero if the volume of the hypercube stays constant. It would become a needle.
But spaces with infinite dimensions are difficult. They are usually required to have a finite norm for all points. Idk how that would affect volume.
But spaces with infinite dimensions are difficult. They are usually required to have a finite norm for all points. Idk how that would affect volume.